Suzuki-type fuzzy contractive inequalities in 1-Z-complete fuzzy metric-like spaces with an application
Articles
Uma Devi Patel
Guru Ghasidas Vishwavidyalaya
https://orcid.org/0000-0003-2853-5501
Stojan Radenović
University of Belgrade
Published 2023-07-14
https://doi.org/10.15388/namc.2023.28.32675
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Keywords

fuzzy Theta-contraction
Suzuki-type fuzzy Theta-contractive mapping
1-Z-complete fuzzy metric-like space
nonlinear fractional differential equation

How to Cite

Patel, U.D. and Radenović, S. (2023) “Suzuki-type fuzzy contractive inequalities in 1-Z-complete fuzzy metric-like spaces with an application”, Nonlinear Analysis: Modelling and Control, 28(5), pp. 932–948. doi:10.15388/namc.2023.28.32675.

Abstract

In the piece of this note, we mention various Suzuki-type fuzzy contractive inequalities in 1-Z-complete fuzzy metric-like spaces for uniqueness and existence of a fixed point and prove a few fuzzy fixed point theorems, which are appropriate generalizations of some of the latest famed results in the literature. Mainly, we generalize fuzzy Θ-contraction in terms of Suzuki-type fuzzy Θ-contraction and also fuzzy ϓ-contractive mapping in view of Suzuki-type. For this new group of Suzuki-type functions, acceptable conditions are formulated to ensure the existence of a unique fixed point. The attractive beauty of this fuzzy distance space lies in the symmetry of its variables, which play a crucial role in the construction of our contractive conditions to ensure the solution. Furthermore, a lot of considerable examples are presented to illustrate the significance of our results. In the end, we have discussed an application in an extensive way for the solution of a nonlinear fractional differential equation via Suzuki-type fuzzy contractive mapping.

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